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Finding the Fourth Proportional to 2,402.19, 3,603.14 and 1,477.88

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Solution

The fourth proportional to 2,402.19, 3,603.14 and 1,477.88 is: 2,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.19 : 3,603.14 = 1,477.88 : x
  2. Step 2: Convert to fraction form
    2,402.19/3,603.14 = 1,477.88/x
  3. Step 3: Cross multiply
    2,402.19x = 3,603.14 × 1,477.88
  4. Step 4: Simplify right side
    2,402.19x = 5,324,983.14
  5. Step 5: Solve for x
    x = 5,324,983.14/2,402.19
  6. Step 6: Final answer
    x = 2,216.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.